Online GCD Calculator is useful to find the GCD of 700, 222, 182, 840 quickly. Get the easiest ways to solve the greatest common divisor of 700, 222, 182, 840 i.e 2 in different methods as follows.
Given Input numbers are 700, 222, 182, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (700, 222, 182, 840) = 2.
Given numbers are 700, 222, 182, 840
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 222 are 2 x 3 x 37
Prime factors of 182 are 2 x 7 x 13
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 700, 222, 182, 840 is 2.
Given numbers are 700, 222, 182, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 222) = 77700
GCD(700, 222) = ( 700 x 222 ) / 77700
= 700 / 222
= 700
Step2:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
Step3:
LCM(2, 840) = 840
GCD(2, 840) = ( 2 x 840 ) / 840
= 2 / 840
= 2
So, Greatest Common Divisor of 700, 222, 182, 840 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 222, 182, 840
The greatest common divisor of numbers 700, 222, 182, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 222, 182, 840 is 2.
1. What is the GCD of 700, 222, 182, 840?
GCD of given numbers 700, 222, 182, 840 is 2
2. How to calculate the greatest common divisor of 700, 222, 182, 840?
We can find the highest common divisor of 700, 222, 182, 840 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 700, 222, 182, 840 i.e 2.
3. How can I use the GCD of 700, 222, 182, 840Calculator?
Out the numbers 700, 222, 182, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.